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Finding the Fourth Proportional to 14,692, 20,275.44 and 8,068

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Solution

The fourth proportional to 14,692, 20,275.44 and 8,068 is: 11,134.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,692 : 20,275.44 = 8,068 : x
  2. Step 2: Convert to fraction form
    14,692/20,275.44 = 8,068/x
  3. Step 3: Cross multiply
    14,692x = 20,275.44 × 8,068
  4. Step 4: Simplify right side
    14,692x = 163,582,249.92
  5. Step 5: Solve for x
    x = 163,582,249.92/14,692
  6. Step 6: Final answer
    x = 11,134.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.